What is the Least Common Multiple of 53385 and 53400?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 53385 and 53400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53385 and 53400, than apply into the LCM equation.

GCF(53385,53400) = 15
LCM(53385,53400) = ( 53385 × 53400) / 15
LCM(53385,53400) = 2850759000 / 15
LCM(53385,53400) = 190050600

Least Common Multiple (LCM) of 53385 and 53400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53385 and 53400. First we will calculate the prime factors of 53385 and 53400.

Prime Factorization of 53385

Prime Factorization of 53400

Now multiplying the highest exponent prime factors to calculate the LCM of 53385 and 53400.

LCM(53385,53400) = 3¹ × 5² × 3559¹ × 2³ × 89¹
LCM(53385,53400) = 190050600